Find the LCM of 489, 652, 362, 579 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 489, 652, 362, 579. So, keep reading to learn more.
Given numbers are 489,652,362,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,652,362,579 is 68328948.
Find LCM of 489,652,362,579 with Prime Factorization
2 | 489, 652, 362, 579 |
3 | 489, 326, 181, 579 |
163 | 163, 326, 181, 193 |
1, 2, 181, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 1 x 2 x 181 x 193 = 68328948
Therefore, the lowest common multiple of 489,652,362,579 is 68328948.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
489 x 652 x 362 x 579 = 66825711144
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
489 : 1, 3, 163, 489
652 : 1, 2, 4, 163, 326, 652
362 : 1, 2, 181, 362
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,652,362,579, is 1.
Now, the common factors can be found like this.
489:3x 163
652:2x 2x 163
362:2x 181
579:3x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 163 = 978
Therefore, the value for common factors is 978.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 66825711144/(1x978)
LCM = 66825711144/978
LCM = 68328948
Thus, we can understand that the LCM of 489,652,362,579 is 68328948.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 489, 652, 362, 579?
Answer: LCM of 489, 652, 362, 579 is 68328948.
2. How to calculate the LCM of 489, 652, 362, 579?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 489, 652, 362, 579.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.